Problem Two: Consider the cross-sectional shown in the figure below. The cross-section is reinforced with 3 bars 30M as shown. 1. Calculate the cracking moment using the exact moment of inertia. 2. Calculate the stresses in the concrete and steel when the moment is 0.75Mcr. 3. Ignoring the self-weight calculate the stresses in the concrete and steel when the applied load is P=30 kN. 4. A beam with a cross-section shown in the figure below spans 4 m and is subjected to a concentrated load, P, at mid-span (see figure). Considering the self-weight, calculate the minimum load, Pmin, that induces cracking.
Problem Two: Consider the cross-sectional shown in the figure below. The cross-section is reinforced with 3 bars 30M as shown. 1. Calculate the cracking moment using the exact moment of inertia. 2. Calculate the stresses in the concrete and steel when the moment is 0.75Mcr. 3. Ignoring the self-weight calculate the stresses in the concrete and steel when the applied load is P=30 kN. 4. A beam with a cross-section shown in the figure below spans 4 m and is subjected to a concentrated load, P, at mid-span (see figure). Considering the self-weight, calculate the minimum load, Pmin, that induces cracking.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Please try to solve only 1st two parts
![Problem Two:
Consider the cross-sectional shown in the figure below. The cross-section is reinforced with 3 bars 30M as shown.
1. Calculate the cracking moment using the exact moment of inertia.
2. Calculate the stresses in the concrete and steel when the moment is 0.75Mcr.
3. Ignoring the self-weight calculate the stresses in the concrete and steel when the applied load is P=30 kN.
4. A beam with a cross-section shown in the figure below spans 4 m and is subjected to a concentrated load, P,
at mid-span (see figure). Considering the self-weight, calculate the minimum load, Pmin, that induces
cracking.
Use fc=30 MPa, Es=200 000 MPa, fy-400 MP, y=2400 kg/m3. The area of one 30M is 700 mm?.
500
L/2
L/2
440
3 # 30
300 mm](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0dd79a4a-036b-4025-9b87-afee6ef1cdc4%2F569d27da-4d52-4008-a01a-b7137e4067ac%2Fndza5p7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem Two:
Consider the cross-sectional shown in the figure below. The cross-section is reinforced with 3 bars 30M as shown.
1. Calculate the cracking moment using the exact moment of inertia.
2. Calculate the stresses in the concrete and steel when the moment is 0.75Mcr.
3. Ignoring the self-weight calculate the stresses in the concrete and steel when the applied load is P=30 kN.
4. A beam with a cross-section shown in the figure below spans 4 m and is subjected to a concentrated load, P,
at mid-span (see figure). Considering the self-weight, calculate the minimum load, Pmin, that induces
cracking.
Use fc=30 MPa, Es=200 000 MPa, fy-400 MP, y=2400 kg/m3. The area of one 30M is 700 mm?.
500
L/2
L/2
440
3 # 30
300 mm
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